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maw [93]
3 years ago
13

The diagram shows a right-angled triangle.

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0

Answer:

h = 9.87 cm

Step-by-step explanation:

Given that,

Base, b = 8 cm

Height = h

Angle, \theta=51^{\circ}

We need to find the value of h. We can use trigonometry to find h.

\tan\theta=\dfrac{\text{Perpendicular}}{\text{Base}}\\\\\tan(51)=\dfrac{h}{8}\\\\h=\tan(51)\times 8\\\\h=9.87\ cm

So, the height of the triangle is 9.87 cm.

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